What is the Least Common Multiple of 24954 and 24960?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 24954 and 24960 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24954 and 24960, than apply into the LCM equation.

GCF(24954,24960) = 6
LCM(24954,24960) = ( 24954 × 24960) / 6
LCM(24954,24960) = 622851840 / 6
LCM(24954,24960) = 103808640

Least Common Multiple (LCM) of 24954 and 24960 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24954 and 24960. First we will calculate the prime factors of 24954 and 24960.

Prime Factorization of 24954

Prime Factorization of 24960

Now multiplying the highest exponent prime factors to calculate the LCM of 24954 and 24960.

LCM(24954,24960) = 2⁷ × 3¹ × 4159¹ × 5¹ × 13¹
LCM(24954,24960) = 103808640